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GMAT Inequalities is a high-frequency topic in GMAT Quant, but many students struggle because the concepts behave differently from standard algebra. Understanding the right rules, patterns, and edge cases can significantly improve both speed and accuracy.- May 06
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21 Jun 2022, 11:45
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Difficulty:
55%
(hard)
Question Stats:
62% (01:42) correct
38%
(01:47)
wrong
based on 292
sessions
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Date
Time
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Not Attempted Yet
In the equation \(x^2+kx+1=0\), x is a variable and k is a constant. If the quadratic equation has two distinct real roots, which of the following could be true?
I. k = 0
II. k = −1
III. k = −3
A. I only
B. III only
C. I and II only
D. II and III only
E. I and III only
I. k = 0
II. k = −1
III. k = −3
A. I only
B. III only
C. I and II only
D. II and III only
E. I and III only
21 Jun 2022, 17:28
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Generally, the concept of Delta Δ is not approached in the GMAT studies, but for this question, in my opinion is the fastest way to “kill” this question.
Quadratic equation is given by ax^2 +bx + c = 0 and Δ = b^2 - 4ac.
Two distinct real roots demands Δ > 0.
Quadratic equation is given by ax^2 +bx + c = 0 and Δ = b^2 - 4ac.
Two distinct real roots demands Δ > 0.
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21 Jun 2025, 17:21
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